A student investigates the discharge of a capacitor CCC through a voltmeter. After charging the capacitor to an initial potential difference, it is allowed to discharge through the voltmeter. The student repeats the measurement of the time T1/2T_{1/2}T1/2 for the potential difference to fall to half of its initial value five times. The recorded values are 8.42texts8.42\\text{ s}8.42texts, 8.35texts8.35\\text{ s}8.35texts, 8.48texts8.48\\text{ s}8.48texts, 8.40texts8.40\\text{ s}8.40texts, and 8.55texts8.55\\text{ s}8.55texts.
Determine the percentage uncertainty in the measurement of T1/2T_{1/2}T1/2.
Calculate the time constant τ\tauτ for this discharge circuit.